SOLUTION: John drove to a distant city in 5 hours. When he returned, there was less traffic, and the trip took only 3 hours. If John averaged 26 Mph faster in the return trip, how fast did h

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: John drove to a distant city in 5 hours. When he returned, there was less traffic, and the trip took only 3 hours. If John averaged 26 Mph faster in the return trip, how fast did h      Log On

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Question 558650: John drove to a distant city in 5 hours. When he returned, there was less traffic, and the trip took only 3 hours. If John averaged 26 Mph faster in the return trip, how fast did he drive each way?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = distance to city
Let +s+ = his speed going to the city
given:
Going to city:
+d+=+s%2A5+
Coming back:
+d+=+%28+s+%2B+26+%29%2A3+
By substitution:
+5s+=+%28+s+%2B+26+%29%2A3+
+5s+=+3s+%2B+78+
+2s+=+78+
+s+=+39+
+s+%2B+26+=+65+
He drove 39 mi/hr to the city and 65 mi/hr coming back